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題名 Corrected confidence intervals for secondary parameters following sequential tests
作者 翁久幸; Coad, Steve
貢獻者 統計系
日期 2006
上傳時間 14-Nov-2014 17:59:23 (UTC+8)
摘要 Corrected confidence intervals are developed for the mean of the second component of a bivariate normal process when the first component is being monitored sequentially. This is accomplished by constructing a first approximation to a pivotal quantity, and then using very weak expansions to determine the correction terms. The asymptotic sampling distribution of the renormalised pivotal quantity is established in both the case where the covariance matrix is known and when it is unknown. The resulting approximations have a simple form and the results of a simulation study of two well-known sequential tests show that they are very accurate. The practical usefulness of the approach is illustrated by a real example of bivariate data. Detailed proofs of the main results are provided.
關聯 Lecture Notes--Monograph Series,50,80-104
Recent developments in nonparametric inference and probability (20060101), 80-104.
資料類型 book/chapter
DOI http://dx.doi.org/10.1214/074921706000000617
dc.contributor 統計系en_US
dc.creator (作者) 翁久幸; Coad, Stevezh_TW
dc.date (日期) 2006en_US
dc.date.accessioned 14-Nov-2014 17:59:23 (UTC+8)-
dc.date.available 14-Nov-2014 17:59:23 (UTC+8)-
dc.date.issued (上傳時間) 14-Nov-2014 17:59:23 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/71480-
dc.description.abstract (摘要) Corrected confidence intervals are developed for the mean of the second component of a bivariate normal process when the first component is being monitored sequentially. This is accomplished by constructing a first approximation to a pivotal quantity, and then using very weak expansions to determine the correction terms. The asymptotic sampling distribution of the renormalised pivotal quantity is established in both the case where the covariance matrix is known and when it is unknown. The resulting approximations have a simple form and the results of a simulation study of two well-known sequential tests show that they are very accurate. The practical usefulness of the approach is illustrated by a real example of bivariate data. Detailed proofs of the main results are provided.en_US
dc.language.iso en_US-
dc.relation (關聯) Lecture Notes--Monograph Series,50,80-104en_US
dc.relation (關聯) Recent developments in nonparametric inference and probability (20060101), 80-104.-
dc.title (題名) Corrected confidence intervals for secondary parameters following sequential testsen_US
dc.type (資料類型) book/chapteren
dc.doi.uri (DOI) http://dx.doi.org/10.1214/074921706000000617-